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Certain amount of an ideal gas confined in a \mathrm{4 L} piston at \mathrm{20 \mathrm{~K}} is allowed to expand adiabatically and quversibly to 25L. If the ratio of heat capacitors \mathrm{(\gamma)=1.5}, the final temperature in kelvin unit of the g as would be -

Option: 1

9k


Option: 2

10k


Option: 3

8k


Option: 4

7k


Answers (1)

best_answer

\mathrm{\begin{aligned} r=1.5 \quad T_1 V_1^{r-1} & =T_2 V_2^{r-1} \\ \Rightarrow T_2 & =T_1\left(\frac{V_1}{V_2}\right)^{r-1} \\ & =20 \sqrt{\frac{4}{25}} \\ & =8 \mathrm{k}(\text { option c) } \end{aligned}}

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Rakesh

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